Word.ws English Dictionary

Krull dimension

Krull dimension noun: the supremum of the lengths of all chains of prime ideals.

Noun

Krull dimension (uncountable)

  1. (commutative algebra) The supremum of the lengths of all chains of prime ideals.

Origin of Krull dimension

Named for Wolfgang Krull, for his work on the height of finitely generated ideals of noetherian rings. The term dimension is from the correspondence between the geometric dimension of an affine variety and the Krull dimension of its coordinate ring.

Questions about Krull dimension

What does Krull dimension mean?
Krull dimension means the supremum of the lengths of all chains of prime ideals.
What part of speech is Krull dimension?
Krull dimension is a noun.

Words near Krull dimension in the dictionary

  1. Krukenberg procedures
  2. Krukowski
  3. Krukowskis
  4. Kruks
  5. Krull
  6. Krull dimension
  7. kruller
  8. krullers
  9. Krulls
  10. Krulwich
  11. Krulwiches

Source and license

Adapted from Wiktionary: Krull dimension (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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